I leave the DSLRs at home when biking or canoeing. Bring a superzoom (Pentax X90) along instead and use a tiny tripod that weighs about 125 grams. Recently bought a waterproof camera (Pentax WG-3) when I realized how few photos I took on wet days. I also have a very light monopod (150 grams) that I can thread onto the tiny tripod for extra height which I sometimes use. The tiny tripod and monopod that I sometimes carry would not handle the weight of a DSLR but can easily handle my lighter weight cameras.
Photos from a canoe trip in early October this year in Boundary Waters Canoe Area, northern Minnesota. Not biking, sorry. First two from the WG-3, second pair from the X90 (discontinued model).
All were reduced to 20 percent or original size to enable easy electronic transfer, that is the only post processing done.
That said, if you are going to carry the DLSR with a prime lens, you will be very disappointed if you try to take some long exposures without your tripod. The first one above was 4 seconds.